616073976128 has 224 divisors, whose sum is σ = 1414662144000. Its totient is φ = 263829602304.

The previous prime is 616073976107. The next prime is 616073976149. The reversal of 616073976128 is 821679370616.

616073976128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (616073976107) and next prime (616073976149).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171941825 + ... + 171945407.

It is an arithmetic number, because the mean of its divisors is an integer number (6315456000).

Almost surely, 2^616073976128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616073976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707331072000).

616073976128 is an abundant number, since it is smaller than the sum of its proper divisors (798588167872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616073976128 is a wasteful number, since it uses less digits than its factorization.

616073976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 56.

The spelling of 616073976128 in words is "six hundred sixteen billion, seventy-three million, nine hundred seventy-six thousand, one hundred twenty-eight".